Physics Waves NUMS 2022
PMDC Verified Question 73 of 125
The increase in the speed of sound in air for each rise above 0°C is:
A
0.41 m/s
B
0.51 m/s
C
0.81 m/s
D
0.61 m/s
Tap any option to test your recall and reveal the step-by-step Propolis autopsy.

Propolis Cognitive Error Autopsy

Official Correct Choice:
Option D: 0.61 m/s
Concept:

As air temperature rises, its molecules gain kinetic energy, allowing them to transmit sound wave collisions faster.

Formula:

$$ v_t = v_0 + 0.61t $$

Solution:

  • For ideal gases around standard temperatures, the speed of sound increases linearly with temperature.


  • Experimental data and the mathematical expansion of Laplace's formula show that for every \( 1^\circ\text{C} \) increase in temperature above \( 0^\circ\text{C} \), the velocity increases by a constant factor of \( 0.61 \text{ m/s} \).


Why other options are incorrect:

Options A, B, and C are incorrect constants. \( 0.61 \text{ m/s} \) is standard textbook empirical value.

Quality & Fidelity Assurance: Every question on BeambePrep is rigorously curated against the official PMDC syllabus with zero filler, zero out-of-syllabus content, and zero typos. When an authentic past paper originally contained a historical mistake or ambiguity from the examining board (such as UHS or NUMS), BeambePrep faithfully reflects the original paper while detailing the nuance and scientific consensus in the autopsy above.

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